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1. (1’) The position function of a particle is given by s(t) = 3t2 − t3,...

1. (1’) The position function of a particle is given by s(t) = 3t2 − t3, t ≥ 0.
(a) When does the particle reach a velocity of 0 m/s? Explain the significance of this value of t.

(b) When does the particle have acceleration 0 m/s2?

2. (1’) Evaluate the limit, if it exists.
lim |x|/x→0 x

3. (1’) Use implicit differentiation to find an equation of the tangent line to the curve sin(x) + cos(y) = 1

at the point (π, π).

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